find maxima and minima for f(x,y)=4x^2 +9y^2 -8x -12y +4
You asked:
Find the maximum and the minimum of \(f\left( x, y \right) = 4 \cdot {x}^{2} + 9 \cdot {y}^{2} - 8 x - 12 y + 4\)
MathBot Answer:
\(f(x, y)=4 x^{2} - 8 x + 9 y^{2} - 12 y + 4\) has no local maxima.
Global extrema not yet supported for multivariable functions.
\(f(x, y)=4 x^{2} - 8 x + 9 y^{2} - 12 y + 4\) has a local minimum \(-4 \) at \(x = 1, \,y = \frac{2}{3}\).